A hierarchy of maximum entropy closures for Galerkin systems of incompressible flows

We propose a maximum-entropy closure strategy for dissipative dynamical systems building on and generalizing earlier examples (Noack & Niven (2012) [11]). Focus is placed on Galerkin systems arising from a projection of the incompressible Navier–Stokes equation onto orthonormal expansion modes. The maximum-entropy closure is motivated by a simple analytical example and elaborated to a hierarchical framework with sufficient conditions for the existence of solutions.